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Skyscraper

Hard· L7
Elimination

A Skyscraper is another single-digit pattern — like a bent X-Wing with a metaphor that sticks.

All it needs is a floor, sturdy walls, and a steep roof. Then you can eliminate candidates that see both roof cells.

It is also the shortest useful AIC / X-Chain shape: strong–weak–strong.

Before this: Learn X-Wing first (same single-digit idea).

Why it works

The floor is a weak link: two cells in the same row (level floor). The walls are strong bi-local columns (exactly two candidates). The roof ends are not on one row — otherwise it would be an X-Wing.

On each strong wall, one end is true and the other is false for that digit. The shared base cannot hold two truths. So at least one rooftop must be true.

Any cell that can see both rooftops is attacked no matter which rooftop is true. That cell cannot be the digit.

How to spot it

Look for floor, walls, and a steep roof. Rotate/flip — same pattern sideways or upside-down.

Demonstration

956372418281675373458129657138628756196128571627384836713781692

For one digit, find two strong links (exactly two candidates on a line) — these will be the walls.

956372418281675373458129657138628756196128571627384836713781692

Align them on a level floor (weak link in one row). The other ends stick up as a steep roof. The green cells form a Skyscraper on 9.

956372418281675373458129657138628756196128571627384836713781692

This is strong–weak–strong — a tiny X-Chain / AIC. One of the two rooftops must be 9.

956372418281675373458129657138628756196128571627384836713781692

Eliminate 9 from cells that see both rooftops (red). Both worlds sting those cells.

Example 1

79684232498768274934529378327854998742241857639893416527576932184

Find floor + walls + steep roof on one digit (two strong links sharing a base).

79684232498768274934529378327854998742241857639893416527576932184

This Skyscraper on 1 has two rooftops.

79684232498768274934529378327854998742241857639893416527576932184

Remove 1 from cells that see both rooftops (red). At least one roof must be true.

Example 2

9673414751698619427582574913639615842774165899671464879533749862

Find floor + walls + steep roof on one digit (two strong links sharing a base).

9673414751698619427582574913639615842774165899671464879533749862

This Skyscraper on 2 has two rooftops.

9673414751698619427582574913639615842774165899671464879533749862

Remove 2 from cells that see both rooftops (red). At least one roof must be true.

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